91712768 has 72 divisors (see below), whose sum is σ = 212903040. Its totient is φ = 38615040.

The previous prime is 91712743. The next prime is 91712771. The reversal of 91712768 is 86721719.

It is a super-2 number, since 2×91712768² = 16822463628443648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108893 + ... + 109731.

Almost surely, 2^91712768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520).

91712768 is an abundant number, since it is smaller than the sum of its proper divisors (121190272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91712768 is an equidigital number, since it uses as much as digits as its factorization.

91712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 909 counting only the distinct ones).

The product of its digits is 42336, while the sum is 41.

The square root of 91712768 is about 9576.6783385472. The cubic root of 91712768 is about 450.9654465557.

The spelling of 91712768 in words is "ninety-one million, seven hundred twelve thousand, seven hundred sixty-eight".